The most common and most likely answer to this crossword clue is the 9 letter word HERBIVORE
I've seen this crossword clue in Financial Times
H
E
R
B
I
V
O
R
E
More clues leading to the result HERBIVORE
- Leaves one's food?
- Vegetarian woman endured being fed second and third helpings of liver
- Veggie fan? That woman’s drill involves one source of veganism
- One has no trouble getting their kids to eat greens
- Woman gets bad vibe eating alternative to rabbit, for instance
- Basil, say, one against hotel regularly taking recipe for salad eater?
- Veggie woman put up with eating olives, essentially
Buddy explains!

The straight part
We know that "Vegetarian" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case vegetarian = herbivore.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does HERBIVORE mean?
HERBIVORE noun- An organism that feeds chiefly on plants; an animal that feeds on herbage or vegetation as the main part of its diet.